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Finding the Third Proportional to 75,470 and 164,042

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Solution

The third proportional to 75,470 and 164,042 is: 356,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,470 : 164,042 = 164,042 : x
  2. Step 2: Convert to fraction form
    75,470/164,042 = 164,042/x
  3. Step 3: Cross multiply
    75,470x = 164,042 × 164,042
  4. Step 4: Simplify right side
    75,470x = 26,909,777,764
  5. Step 5: Solve for x
    x = 26,909,777,764/75,470
  6. Step 6: Final answer
    x = 356,562.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.